[TI] Compact: Add another result

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2025-12-10 10:18:00 +01:00
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@@ -159,6 +159,13 @@ or the condition can be restated such that only $L(M)$ is described by it.
For a more formal proof of that condition, simply show that the implication holds For a more formal proof of that condition, simply show that the implication holds
Another result (not formally proven in the script, but there is a proof by intimidation) that can come in useful, especially when trying to show $L \notin \cL_{RE}$ is:
\rmvspace
\begin{align*}
L, L^C \in \cL_{RE} \Longleftrightarrow L \in \cL_R
\end{align*}
\stepcounter{subsection} \stepcounter{subsection}
\subsection{The method of the Kolmogorov-Complexity} \subsection{The method of the Kolmogorov-Complexity}
\inlinetheorem The problem of computing the Kolmogorov-Complexity $K(x)$ for each $x$ is algorithmically unsolvable. \inlinetheorem The problem of computing the Kolmogorov-Complexity $K(x)$ for each $x$ is algorithmically unsolvable.

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